How can I prove that for a,b,c>0
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I don't know how well this would work because it looks it might be a nightmare to simplify, but first thing I'd do would be to square it all and see what happened when I rearranged it.
Originally Posted by DarkAngel07 How can I prove that for a,b,c>0 I guess that you may first need to apply Muirhead's inequality to the symmetric sum on the left-hand side, then apply some simple inqualities (see Muirhead's inequality - Wikipedia, the free encyclopedia).
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